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Finding the Fourth Proportional to 547.02, 818.46 and 409.65

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Solution

The fourth proportional to 547.02, 818.46 and 409.65 is: 612.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.02 : 818.46 = 409.65 : x
  2. Step 2: Convert to fraction form
    547.02/818.46 = 409.65/x
  3. Step 3: Cross multiply
    547.02x = 818.46 × 409.65
  4. Step 4: Simplify right side
    547.02x = 335,282.14
  5. Step 5: Solve for x
    x = 335,282.14/547.02
  6. Step 6: Final answer
    x = 612.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.